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y−3=5(x−2)y-3=5(x-2)

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Find limits using power and root lawsright chevron icon

Full solution

Q. y−3=5(x−2)y-3=5(x-2)
  1. Given Equation: We are given the equation y−3=5(x−2)y - 3 = 5(x - 2) and need to convert it to slope-intercept form, which is y=mx+by = mx + b, where mm is the slope and bb is the y-intercept.
  2. Distribute 55: First, we will distribute the 55 into the parentheses on the right side of the equation.y−3=5×x−5×2y - 3 = 5 \times x - 5 \times 2y−3=5x−10y - 3 = 5x - 10
  3. Add 33: Next, we will add 33 to both sides of the equation to isolate yy on the left side.\newliney−3+3=5x−10+3y - 3 + 3 = 5x - 10 + 3\newliney=5x−7y = 5x - 7
  4. Final Slope-Intercept Form: Now the equation is in slope-intercept form, with the slope mm being 55 and the y-intercept bb being −7-7.

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